paytonkimberly2131 paytonkimberly2131

01-08-2022
Mathematics

Answered

Simplify the following expression:

( 4 + 5i ) / 4i
Select one:

a.
( 5 + 4i ) / 4

b.
( 5 - 4i ) / 4

c.
( 5i + 4i ) / 4

d.
( 5i - 4 ) / 4

Answer :

Medunno13 Medunno13

01-08-2022

Answer: B

Step-by-step explanation:

[tex]\frac{4+5i}{4i}\\ \\ =\frac{1}{4} \left(\frac{4+5i}{i} \right)\\\\=\frac{1}{4}((-i)(4+5i))\\\\=\frac{1}{4}(-4i-5i^2)\\\\=\frac{5-4i}{4}[/tex]

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